Analyticity of transmission problem to thermoelastic plates
Authors:
Hugo D. Fernández Sare and Jaime E. Muñoz Rivera
Journal:
Quart. Appl. Math. 69 (2011), 1-13
MSC (2000):
Primary 35B40, 74H40
DOI:
https://doi.org/10.1090/S0033-569X-2010-01187-6
Published electronically:
December 9, 2010
MathSciNet review:
2807974
Full-text PDF Free Access
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Additional Information
Abstract: In this paper we consider an oscillation model to a plate comprised of two different thermoelastic materials; that is, we study a transmission problem to thermoelastic plates. Our main result is to prove that the corresponding semigroup associated to this problem is of analytic type.
References
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References
- Kim, J. U.: On the energy decay of a linear thermoelastic bar and plate. SIAM J. Math. Anal. 23 (1992), 889–899. MR 1166563 (93f:35159)
- Lagnese, J. E.: Boundary Stabilization of Thin Plates. SIAM, Philadelphia (1989). MR 1061153 (91k:73001)
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Additional Information
Hugo D. Fernández Sare
Affiliation:
Department of Research and Development, National Laboratory for Scientific Computation, Rua Getulio Vargas 333, Quitandinha CEP 25651-070, Petrópolis, Rio de Janeiro-Brazil
Email:
hugosare@lncc.br, hugo@im.ufrj.br
Jaime E. Muñoz Rivera
Affiliation:
Department of Research and Development, National Laboratory for Scientific Computation, Rua Getulio Vargas 333, Quitandinha CEP 25651-070, Petrópolis, Rio de Janeiro-Brazil
Email:
rivera@lncc.br
Keywords:
Thermoelastic plates,
transmission problem,
analytic semigroup
Received by editor(s):
March 4, 2009
Published electronically:
December 9, 2010
Additional Notes:
H. D. Fernández Sare is supported by the CNPq grant 152398/2007-4. J. E. Muñoz Rivera is supported by the CNPq grant 309166/2007-1.
Article copyright:
© Copyright 2010
Brown University
The copyright for this article reverts to public domain 28 years after publication.
